The Bresse system in thermoelasticity |
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Authors: | Belkacem Said‐Houari Abdelaziz Soufyane |
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Affiliation: | Mathematics and Natural Sciences Department, ALHOSN University, Abu Dhabi, United Arab Emirates |
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Abstract: | In this paper, we consider the Bresse system coupled with the Fourier law of heat conduction. We prove that the decay rate of the solution is very slow. In fact, we show that the L2‐norm of the solution decays with the rate of (1 + t)?1/12 similar to the one obtained for the Timoshenko system. In addition, we found that the wave speed of the first two equations still control the decay rate of the solution with respect to the regularity of the initial data. This seems to be the first result dealing with the behavior of the Cauchy problem in the Bresse–Fourier model. Copyright © 2014 John Wiley & Sons, Ltd. |
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Keywords: | Bresse beam thermoelasticity decay rate regularity loss heat conduction |
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